61834443816 has 64 divisors (see below), whose sum is σ = 156386220480. Its totient is φ = 20372172800.

The previous prime is 61834443661. The next prime is 61834443823.

61834443816 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1401160 + ... + 1444616.

It is an arithmetic number, because the mean of its divisors is an integer number (2443534695).

Almost surely, 2^61834443816 is an apocalyptic number.

It is an amenable number.

61834443816 is an abundant number, since it is smaller than the sum of its proper divisors (94551776664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61834443816 is a wasteful number, since it uses less digits than its factorization.

61834443816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44154 (or 44150 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The spelling of 61834443816 in words is "sixty-one billion, eight hundred thirty-four million, four hundred forty-three thousand, eight hundred sixteen".